JEE Mains · Physics · STD 12 -6. Electromagnetic induction
A small square loop of side \('a'\) and one turn is placed inside a larger square loop of side \({b}\) and one turn \((b \gg a)\). The two loops are coplanar with thei centres coinciding. If a current \(I\) is passed in the square loop of side \('b',\) then the coefficient of mutual inductance between the two loops is
- A \(\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{{a}^{2}}{{b}}\)
- B \(\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{{a}}\)
- C \(\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{{b}^{2}}{{a}}\)
- D \(\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{{b}}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{{a}^{2}}{{b}}\)
Step-by-step Solution
Detailed explanation
\({B}=\left[\frac{\mu_{0}}{4 \pi} \frac{{I}}{{b} / 2} \times 2 \sin 45\right] \times 4\) \(\phi=2 \sqrt{2} \frac{\mu_{0}}{\pi} \frac{{I}}{{b}} \times {a}^{2}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- An unpolarized light of intensity \(I_o\) passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is \(0°\) and intensity of light emerged from analyser is \(\dfrac{3}{8}I_o\), the angle of rotation of the light by the solution with respect to analyser is _______ degrees.JEE Mains 2026 Medium
- A body \(A,\) of mass \(m=0.1\; kg\) has an initial velocity of \(3 \hat{\mathrm{i}}\; \mathrm{ms}^{-1} .\) It collides elastically with another body, \(\mathrm{B}\) of the same mass which has an initial velocity of \(5 \hat{\mathrm{j}} \;\mathrm{ms}^{-1}\). After collision. A moves with a velocity \(\overline{\mathrm{v}}=4(\hat{\mathrm{i}}+\hat{\mathrm{j}})\). The energy of \(\mathrm{B}\) after collision is written as \(\frac{\mathrm{x}}{10} \;\mathrm{J}\) The value of \(x\) isJEE Mains 2020 Medium
- The displacement of a particle executing SHM is given by \(x=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{m}\). The time period of motion is \(3.14 \mathrm{~s}\). The velocity of the particle at \(\mathrm{t}=0\) is_________ \(\mathrm{m} / \mathrm{s}\).JEE Mains 2024 Hard
- The equation of a plane progressive wave is given by \(y = 5\cos\pi\left(200t - \dfrac{x}{150}\right)\) where \(x\) and \(y\) are in cm and \(t\) is in second. The velocity of the wave is _______ m/s.JEE Mains 2026 Easy
- If a semiconductor photodiode can detect a photon with a maximum wavelength of \(400\, nm ,\) then its band gap energy is Planck's constant \(h=6.63 \times 10^{-34}\, J . s\) Speed of ligh \(c =3 \times 10^{8}\, m / s\)JEE Mains 2020 Easy
- The frequency of oscillation of a mass \(m\) suspended by a spring is \(v_1\). If the length of the spring is cut to half, the same mass oscillates with frequency \(v_2\). The value of \(v_2/v_1\) is ________.JEE Mains 2026 Medium
More PYQs from JEE Mains
- In an electromagnetic wave the electric field vector and magnetic field vector are given as \(\vec{E}=E_{0} \hat{i}\) and \(\vec{B}=B_{0} \hat{k}\) respectively. The direction of propagation of electromagnetic wave is along.JEE Mains 2021 Medium
- If \(y = \tan^{-1}\left(\dfrac{3\cos x - 4\sin x}{4\cos x + 3\sin x}\right) + 2\tan^{-1}\left(\dfrac{x}{1+\sqrt{1-x^2}}\right)\), then \(\dfrac{dy}{dx}\) at \(x = \dfrac{\sqrt{3}}{2}\) is equal to:JEE Mains 2026 Medium
- Let \(\mathrm{A}=\{-3,-2,-1,0,1,2,3\}\) and R be a relation on \(A\) defined by \(x R y\) if and only if \(2 x-y \in\{0,1\}\). Let \(l\) be the number of elements in R. Let \(m\) and \(n\) be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then \(l+\mathrm{m} \mathrm{n}\) is equal to :-JEE Mains 2025 Easy
- If in a regular polygon the number of diagonals is \(54\), then the number of sides of this polygon isJEE Mains 2015 Hard
- If the radius of earth shrinks by \(2 \%\) while its mass remains same. The acceleration due to gravity on the earth's surface will approximately.JEE Mains 2022 Medium
- The current flowing through \(R _2\) is:
JEE Mains 2023 Medium